We consider the generalization of the scalar chiral model of graphene, the 8-spinor field being included for the description of spin and quasi-spin excitations. The γ5 – invariant Lagrangian density quadratic in derivatives is constructed using the principle of energy positivity and that of correspondence with the scalar model. The electromagnetic interaction is included through the extension of derivatives, the Pauli direct interaction term being added. We consider in detail an example of interaction with the external uniform static magnetic field. © (2015) Trans Tech Publications, Switzerland.